File:Animation Hertzscher Dipol.ogv
Original file (Ogg Theora video file, length 40 s, 1,600 × 900 pixels, 956 kbps, file size: 4.56 MB)
Captions
Captions
Summary
[edit]DescriptionAnimation Hertzscher Dipol.ogv |
Deutsch: Animation zum Hertzschem Dipol mit E- und H-Feld. |
Date | |
Source | Own work |
Author | Menner |
Other versions |
|
Source code (GNU Octave)
[edit]#!/usr/bin/octave -qf
%
% 2014
%
%
% calcE
%
% t time
% r radius (might be an array)
% E_theta E field
%
function E_theta = calcE(r, t)
% r
global parameters;
omega = parameters.omega;
epsilon = parameters.epsilon;
lambda = parameters.lambda;
c = parameters.c;
roh = 2 * pi() * r / lambda;
E_theta_1 = ( (1 ./ roh) - (1 ./ roh.^3) ) .* cos(roh .- omega*t);
E_theta_2 = (1 ./roh.^2) .* sin(roh .- omega*t) * -1.;
E_koeff = omega^3 / (4 * pi() * epsilon * c^3);
E_theta = -1 * E_koeff * (E_theta_1+E_theta_2);
endfunction
%
% calcH
%
% t time
% r radius (might be an array)
% H_theta H field
%
function H_phi = calcH(r, t)
% r
global parameters;
omega = parameters.omega;
epsilon = parameters.epsilon;
lambda = parameters.lambda;
c = parameters.c;
roh = 2 * pi() * r / lambda;
H_phi_1 = (1 ./ roh) .* cos(roh .- omega*t);
H_phi_2 = (1 ./roh.^2) .* sin(roh .- omega*t) * -1.;
H_koeff = omega^3 / (4 * pi() * epsilon * c^2);
H_phi = -1 * H_koeff * (H_phi_1 + H_phi_2);
endfunction
%
%
% M A I N
%
%
begin_cputime = time();
global parameters;
parameters.framerate = 20;
parameters.duration = 40;
parameters.cycles = 4;
%parameters.framerate = 20;
%parameters.duration = 1;
%parameters.cycles = 1;
parameters.ylim = 1;
parameters.filename = "animation_hertzscher_dipol";
%parameters.Dimensions = "-S800,450";
parameters.Dimensions = "-S1600,900";
parameters.steps = 50;
parameters.linewidth = 2;
%parameters.plot_E = "r;E-Feld;";
%parameters.plot_H = "b;H-Feld;";
parameters.plot_E = "r;E field;";
parameters.plot_H = "b;H field;";
parameters.plot_decay = "k;1/r;";
%parameters.plot_Radius = "Radius normiert zur Wellenlaenge";
%parameters.plot_Amp = "Amplitude normiert bei Radius einer Wellenlaenge";
parameters.plot_Radius = "Radius normalized to wave length";
parameters.plot_Amp = "Amplitude normalized at radius of one wave length";
parameters.f = 0.1; % Hz
parameters.omega = 2 * pi() * parameters.f;
parameters.epsilon = 8.85418781762e-12; %
parameters.c = 3e8; % m/s
parameters.lambda = parameters.c / parameters.f;
parameters.width = parameters.lambda * 3.; % 3 * wave length
parameters
r = 0:parameters.lambda/parameters.steps:parameters.width;
r_Norm = r ./ parameters.lambda;
t_max = parameters.cycles/parameters.f
%t_schritt = parameters.f/parameters.framerate;
t_schritt = t_max/(parameters.duration*parameters.framerate);
Counter = 1;
Frames = t_max / t_schritt
E_Norm = parameters.omega^3 / (4 * pi() * parameters.epsilon * parameters.c^3);
E_Norm = E_Norm / (2 * pi());
H_Norm = parameters.omega^3 / (4 * pi() * parameters.epsilon * parameters.c^2);
H_Norm = H_Norm / (2*pi());
for t = 0:t_schritt:t_max
close();
E = calcE(r, t);
E = E / E_Norm;
H = calcH(r, t);
H = H / H_Norm;
decay = 1 ./ r_Norm;
plot(r_Norm(1,3:end), E(1,3:end), parameters.plot_E, "linewidth", parameters.linewidth);
hold("on");
plot(r_Norm(1,3:end), H(1,3:end), parameters.plot_H, "linewidth", parameters.linewidth);
plot(r_Norm(1,3:end), decay(1,3:end), parameters.plot_decay, "linewidth", parameters.linewidth);
plot(r_Norm(1,3:end), -1*decay(1,3:end), "color", "k", "linewidth", parameters.linewidth);
ylim([-15, 15]);
xlabel(parameters.plot_Radius);
ylabel(parameters.plot_Amp);
set (gca(), "linewidth", parameters.linewidth);
filename = ["./png/", parameters.filename, "-", num2str(Counter, "%04i"), ".png"]
print(filename, "-dpng", parameters.Dimensions)
Counter += 1;
endfor
printf("Total cpu time: %f seconds\n", time()-begin_cputime);
printf("Finished\n");
Convenience script
[edit]#!/bin/sh
start=`date`;
framerate=20
#% framerate=2
name="animation_hertzscher_dipol"
rm ./png -rf
mkdir ./png
octave ./dipol_feld_diagramm.m
rm ./yuv -rf
mkdir ./yuv
png2yuv -j ./png/$name-%04d.png -f $framerate -I p -b 1 > ./yuv/out.yuv
rm ./$name.ogv
./ffmpeg2theora-0.29.linux32.bin ./yuv/out.yuv -F $framerate -v 9 -o ./$name.ogv;
end=`date`;
echo Start: $start;
echo End: $end;
Licensing
[edit]![]() ![]() |
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 16:27, 12 September 2014 | 40 s, 1,600 × 900 (4.56 MB) | Menner (talk | contribs) | minor modifications | |
14:06, 12 September 2014 | 40 s, 1,600 × 900 (4.86 MB) | Menner (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
The following page uses this file:
Transcode status
Update transcode statusFile usage on other wikis
The following other wikis use this file:
- Usage on de.wikipedia.org
- Usage on de.wikibooks.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Software used |
---|